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Working Paper
Local Projections, Autocorrelation, and Efficiency
It is well known that Local Projections (LP) residuals are autocorrelated. Conventional wisdom says that LP have to be estimated by OLS with Newey-West (or some type of Heteroskedastic and Autocorrelation Consistent (HAC)) standard errors and that GLS is not possible because the autocorrelation process is unknown and/or because the GLS estimator would be inconsistent. I derive the autocorrelation process of LP and show that it can be corrected for using a consistent GLS estimator. Estimating LP with GLS has three major implications: 1) LP GLS can be less biased, more efficient, and generally ...
Working Paper
A Hitchhiker’s Guide to Empirical Macro Models
This paper describes a package which uses MATLAB functions and routines to estimate VARs, local projections and other models with classical or Bayesian methods. The toolbox allows a researcher to conduct inference under various prior assumptions on the parameters, to produce point and density forecasts, to measure spillovers and to trace out the causal effect of shocks using a number of identification schemes. The toolbox is equipped to handle missing observations, mixed frequencies and time series with large cross-section information (e.g. panels of VAR and FAVAR). It also contains a number ...
Working Paper
Paycheck Protection Program: County-Level Determinants and Effect on Unemployment
This paper uses U.S. county-level data to study the determinants and effects of the Paycheck Protection Program (PPP). The paper first overviews the timeline and institutional aspects of the PPP, implemented in the second quarter of 2020 and worth about $669 billion in forgivable small business loans guaranteed by the Small Business Administration (SBA). It then studies the determinants of the county-level ratios of PPP loans per job lost during the original unemployment surge associated with the onset of the COVID-19 pandemic in late March 2020 and finds that it does not appear to be a major ...
Working Paper
A Hitchhiker’s Guide to Empirical Macro Models
This paper describes a package which uses MATLAB functions and routines to estimate VARs, local projections and other models with classical or Bayesian methods. The toolbox allows a researcher to conduct inference under various prior assumptions on the parameters, to produce point and density forecasts, to measure spillovers and to trace out the causal effect of shocks using a number of identification schemes. The toolbox is equipped to handle missing observations, mixed frequencies and time series with large cross-section information (e.g. panels of VAR and FAVAR). It also contains a number ...